Representing numbers as the sum of squares and powers in the ring $\mathbb{Z}_n$

Rob Burns

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arXiv · 1708.03930

Representing numbers as the sum of squares and powers in the ring $\mathbb{Z}_n$

Rob Burns

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Abstract

We examine the representation of numbers as the sum of two squares in $\mathbb{Z}_n$ for a general positive integer $n$. Using this information we make some comments about the density of positive integers which can be represented as the sum of two squares and powers of $2$ in $\mathbb{N}$.

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Rob Burns. 2017-08-13. Representing numbers as the sum of squares and powers in the ring $\mathbb{Z}_n$. https://arxiv.org/abs/1708.03930

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